Question

Composition of Transtormations What is the image point of (0,-9) after the transformation r_(y-axis )T_(-3,3)

Answer 1

The image point of (0, -9) after the transformation
`r_((y-axis))`T_(-3,3) is (-3, 6).

Step-by-step explanation:

To find the image point after the transformation, we need to apply the given transformation to the coordinates of the point (0, -9). The transformation r(
`r_(y-axis)`)T(-3,3) means reflecting the point about the y-axis and then translating it 3 units to the left and 3 units up.

When we reflect a point about the y-axis, the x-coordinate becomes its negative. So, the image point of (0, -9) after reflection is (0, 9). Then, we translate this point 3 units to the left and 3 units up to get the final image point. Therefore, the image point of (0, -9) after the given transformation is (-3, 6).